Keywords

Pendulum; Vibrations; Frequency; Amplitude; Stability

Abstract

This thesis investigates vibration-based stability as a mechanism for achieving self-stabilizing nonlinear dynamic motion in engineered systems. Inspired by biological hovering flight, in which periodic wing motion can passively enhance stability, the study explores how controlled oscillations can be used to stabilize otherwise unstable mechanical configurations. The research centers on a simplified dynamic model based on the Kapitza pendulum, an inverted pendulum with a vertically oscillating base, which serves as a foundation for understanding vibration-induced stabilization. Analytical modeling using Lagrangian mechanics is employed to derive the governing equations of motion and identify the excitation conditions required for stable inverted behavior. These predictions are examined through MATLAB simulations that evaluate the effects of pendulum input amplitude, and frequency on system stability. To validate the computational findings, physical prototypes are fabricated using 3D printing and tested on a LabVIEW-controlled shaker system. Experimental measurements, including accelerometer data and high-speed motion tracking, are used to compare observed behavior with simulation results and refine the model. By investigating the limits and robustness of vibration-induced stabilization, this work aims to advance low-power, bioinspired stabilization strategies for aerospace applications, including hovering vehicles, vibration-resilient structures, and spacecraft operating in dynamic environments.

Thesis Completion Year

2026

Thesis Completion Semester

Spring

Thesis Chair

Kauffman, Jeffrey

College

College of Engineering and Computer Science

Department

Department of Mechanical and Aerospace Engineering

Thesis Discipline

Aerospace Engineering

Language

English

Access Status

Open Access

Length of Campus Access

None

Campus Location

Orlando (Main) Campus

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